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  1. Hace 3 horas · A spatial rotation around a fixed point of radians about a unit axis that denotes the Euler axis is given by the quaternion , where and . Compared to rotation matrices, quaternions are more compact, efficient, and numerically stable. Compared to Euler angles, they are simpler to compose.

  2. Hace 1 día · Newton's method is a powerful technique—in general the convergence is quadratic: as the method converges on the root, the difference between the root and the approximation is squared (the number of accurate digits roughly doubles) at each step. However, there are some difficulties with the method.

  3. Hace 1 día · 1 × 1010 [47] There are actually two black holes, orbiting at each other in a close pair with a 542-day period. The largest one is quoted, while the smaller one's mass is not defined. [47] Black hole of central elliptical galaxy of RX J1532.9+3021. 1 × 1010 [48] QSO B2126-158. 1 × 1010 [23] – 4.9+1.13.